By Mario Michele Gala, Elisa Quintarelli, Letizia Tanca (auth.), John L. Pfaltz, Manfred Nagl, Boris Böhlen (eds.)
This ebook constitutes the completely refereed post-proceedings of the second one foreign Workshop on functions of Graph alterations with business Relevance, AGTIVE 2003, held in Charlotesville, Virginia, united states in September/October 2003.
The 27 revised complete papers and eleven revised demo papers awarded including 2 invited papers and five workshop studies have been rigorously chosen in the course of iterated rounds of reviewing and revision. The papers are prepared in topical sections on internet purposes; information buildings and information bases; engineering purposes; agent-oriented and useful courses and distribution; item- and aspect-oriented structures; typical languages: processing and structuring; reengineering; reuse and integration; modeling languages; bioinformatics; and multimedia, photo, and visible languages.
Read or Download Applications of Graph Transformations with Industrial Relevance: Second International Workshop, AGTIVE 2003, Charlottesville, VA, USA, September 27 - October 1, 2003, Revised Selected and Invited Papers PDF
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Additional resources for Applications of Graph Transformations with Industrial Relevance: Second International Workshop, AGTIVE 2003, Charlottesville, VA, USA, September 27 - October 1, 2003, Revised Selected and Invited Papers
7] F Drewes, B Hoffmann, and M Minas. Context-exploiting shapes for diagram transformation. Machine Graphics and Vision, 12(1):117–132, 2003.  P Fradet and D Le Métayer. Shape types. In Proc. Principles of Programming Languages (POPL ’97), pages 27–39. ACM Press, 1997.  P Fradet and D Le Métayer. Structured Gamma. Science of Computer Programming, 31(2–3):263–289, 1998. 44 Adam Bakewell et al.  A Habel, J Müller, and D Plump. Double-pushout graph transformation revisited. Math. Struct.
Testing membership of such languages is simple: given a graph G, 38 Adam Bakewell et al. check that G only has terminal labels and apply the rules in (nondeterministically) as long as possible; G belongs to iff the resulting graph is isomorphic to Acc. First we consider termination. Definition 9 (Graph size, polynomially terminating, size-reducing) Graph size is defined by where # denotes set cardinality. A GRS is terminating if there is no infinite derivation It is polynomially terminating if there is a polynomial such that for every derivation It is size-reducing if for every rule in The example specifications in this paper have linear reduction lengths; this is usually easily shown, but there is no general decision method, so new GRSs may require individual termination analysis.
By Theorem 4 and Example 9, the languages of NT-free (P)GRSs are not closed under intersection. Theorem 5 shows that (P)GRSs and intersections of NT-free (P)GRSs have equivalent power. Theorem 6 shows that (P)GRSs are closed under intersection. 40 Adam Bakewell et al. Theorem 5 (GRSs equivalent to intersections of NT-free GRSs) 1. t. Further, if N is a PGRS then so are S and T. 2. t. Further, if S and T are PGRSs then so is N. Theorem 6 (Graph reduction languages closed under intersection) If S and T are (P)GRSs, then can be defined by a (P)GRS N.